کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1156030 958795 2010 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Law of large numbers for the maximal flow through tilted cylinders in two-dimensional first passage percolation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Law of large numbers for the maximal flow through tilted cylinders in two-dimensional first passage percolation
چکیده انگلیسی

Equip the edges of the lattice Z2Z2 with i.i.d. random capacities. We prove a law of large numbers for the maximal flow crossing a rectangle in R2R2 when the side lengths of the rectangle go to infinity. The value of the limit depends on the asymptotic behaviour of the ratio of the height of the cylinder over the length of its basis. This law of large numbers extends the law of large numbers obtained in Grimmett and Kesten (1984) [6] for rectangles of particular orientation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 120, Issue 6, June 2010, Pages 873–900
نویسندگان
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